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Finding the Third Proportional to 267,652,082 and 409,171,073

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Solution

The third proportional to 267,652,082 and 409,171,073 is: 625,517,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,652,082 : 409,171,073 = 409,171,073 : x
  2. Step 2: Convert to fraction form
    267,652,082/409,171,073 = 409,171,073/x
  3. Step 3: Cross multiply
    267,652,082x = 409,171,073 × 409,171,073
  4. Step 4: Simplify right side
    267,652,082x = 167,420,966,979,971,328
  5. Step 5: Solve for x
    x = 167,420,966,979,971,328/267,652,082
  6. Step 6: Final answer
    x = 625,517,147.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.